vereinfachen (1-0.2)((0.2)/(0.1))^{(0.3)/(0.7)}

Lösung

vereinfachen

(1 - 0.2) (\frac{0.2}{0.1})^{\frac{0.3}{0.7}}

0.8 \cdot 2^{\frac{3}{7}}

Dezimale

1.07672 \dots

Schritte zur Lösung

(1 - 0.2) (\frac{0.2}{0.1})^{\frac{0.3}{0.7}}

Subtrahiere die Zahlen:

1 - 0.2 = 0.8

= 0.8 (\frac{0.2}{0.1})^{\frac{0.3}{0.7}}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{0.2}{0.1})^{\frac{0.3}{0.7}} = \frac{0. 2 ^{\frac{0.3}{0.7}}}{0. 1 ^{\frac{0.3}{0.7}}}

= 0.8 \cdot \frac{0. 2 ^{\frac{0.3}{0.7}}}{0. 1 ^{\frac{0.3}{0.7}}}

0.2 = \frac{1}{5}

= 0.8 \cdot \frac{( \frac{1}{5} ) ^{\frac{0.3}{0.7}}}{0. 1 ^{\frac{0.3}{0.7}}}

0.1 = \frac{1}{10}

= 0.8 \cdot \frac{( \frac{1}{5} ) ^{\frac{0.3}{0.7}}}{( \frac{1}{10} ) ^{\frac{0.3}{0.7}}}

\frac{( \frac{1}{5} ) ^{\frac{0.3}{0.7}}}{( \frac{1}{10} ) ^{\frac{0.3}{0.7}}} = 2^{\frac{0.3}{0.7}}

= 0.8 \cdot 2^{\frac{0.3}{0.7}}

\frac{0.3}{0.7} = \frac{3}{7}

= 0.8 \cdot 2^{\frac{3}{7}}

5 + 7 a = 19

(r - 3) (r + 9) = - 16

f a c t or 2 x^{2} + 17 x + 15

s im pl i f y \frac{7.68 \cdot 1 0 ^{- 4}}{2.4 \cdot 1 0 ^{2}}

\frac{y}{- 4} = - 3